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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 304200.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.s1 | 304200s1 | \([0, 0, 0, -823875, -321311250]\) | \(-7020\) | \(-8809891786800000000\) | \([]\) | \(5690880\) | \(2.3661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304200.s do not have complex multiplication.Modular form 304200.2.a.s
sage: E.q_eigenform(10)